Rapidly rotating Bose-Einstein condensates∗ Alexander Fetter ...

As Ω increases, curvature near ζ 0 = 0 decreases
• curve (b) is when curvature near ζ 0 = 0 vanishes
• it corresponds to angular velocity
Ω m = 3 2
MR 2 ⊥
ln
(
R⊥
• for Ω Ω m , energy ∆E ′ (ζ 0 , Ω) has local minimum
near ζ 0 = 0
• dissipation would now drive vortex back toward the
symmetry axis
• Ω m is angular velocity for onset of metastability
• vortex at center is locally stable for Ω > Ω m , but not
globally stable, since ∆E ′ (0, Ω m ) is positive
ξ
)
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